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Finding the Third Proportional to 263,164.50 and 571,041

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Solution

The third proportional to 263,164.50 and 571,041 is: 1,239,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,164.50 : 571,041 = 571,041 : x
  2. Step 2: Convert to fraction form
    263,164.50/571,041 = 571,041/x
  3. Step 3: Cross multiply
    263,164.50x = 571,041 × 571,041
  4. Step 4: Simplify right side
    263,164.50x = 326,087,823,681
  5. Step 5: Solve for x
    x = 326,087,823,681/263,164.50
  6. Step 6: Final answer
    x = 1,239,102.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.